Fuzzy n-ary hypergroups related to fuzzy points

KAZANCI O., Davvaz B., YAMAK S.

NEURAL COMPUTING & APPLICATIONS, cilt.19, sa.5, ss.649-655, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 5
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1007/s00521-009-0313-8
  • Dergi Adı: NEURAL COMPUTING & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.649-655
  • Anahtar Kelimeler: Hypergroup, n-ary hypergroup, n-ary sub-hypergroup, Fuzzy n-ary sub-hypergroup, (is an element of, is an element of Vq)-fuzzy n-ary sub-hypergroup, SUBGROUP, IDEALS, RINGS
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we introduce and study a new sort of fuzzy n-ary sub-hypergroups of an n-ary hypergroup, called (is an element of, is an element of Vq)-fuzzy n-ary sub-hypergroup. By using this new idea, we consider the (is an element of, is an element of Vq)-fuzzy n-ary sub-hypergroup of a n-ary hypergroup. This newly defined (is an element of, is an element of Vq)-fuzzy n-ary sub-hypergroup is a generalization of the usual fuzzy n-ary sub-hypergroup. Finally, we consider the concept of implication-based fuzzy n-ary sub-hypergroup in an n-ary hypergroup and discuss the relations between them, in particular, the implication operators in Lukasiewicz system of continuous-valued logic are discussed.